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Recursive Search Method Applied To A Nonequilibrium Phase Transition

Author

Listed:
  • P. C. da SILVA

    (Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970, Natal — RN, Brazil)

  • M. L. LYRA

    (Departamento de Física, Universidade Federal de Alagoas, 57072-970, Maceió — AL, Brazil)

  • U. L. FULCO

    (Departamento de Física, Universidade Federal do Piaui, 64049-550, Teresina — PI, Brazil)

  • L. R. da SILVA

    (Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970, Natal — RN, Brazil)

Abstract

In this work, we extend the recursive search method to locate the critical point and to obtain the relevant critical exponents of a nonequilibrium phase transition. In particular, the method is applied to the contact process which presents a nonequilibrium phase transition between a steady active to a single inactive absorbing state belonging to the directed percolation universality class. We present the appropriate scaling analysis which allows for precise estimates of the critical parameters with a relatively small computational effort. The proposed scheme can be directly applied to general model systems presenting nonequilibrium transitions into absorbing states including reaction–diffusion and pair contact processes.

Suggested Citation

  • P. C. da SILVA & M. L. LYRA & U. L. FULCO & L. R. da SILVA, 2004. "Recursive Search Method Applied To A Nonequilibrium Phase Transition," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 233-239.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:02:n:s0129183104005632
    DOI: 10.1142/S0129183104005632
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